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Generalized Fractional Evolution Equation

Da Silva, J. L.Erraoui, M.Ouerdiane, H. — 2007

Fractional Calculus and Applied Analysis

2000 Mathematics Subject Classification: Primary 46F25, 26A33; Secondary: 46G20 In this paper we study the generalized Riemann-Liouville (resp. Caputo) time fractional evolution equation in infinite dimensions. We show that the explicit solution is given as the convolution between the initial condition and a generalized function related to the Mittag-Leffler function. The fundamental solution corresponding to the Riemann-Liouville time fractional evolution equation does not admit a...

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